John is 30 years old. He will receive two payments of $2500 each. The first payment will be an unknown number of years in the future. The second payment will be five years after the first payment. At an annual effective interest rate of I=5%, the present value of the two payments is $2606. Determine at what age John will receive the second payment.

Answers

Answer 1

Answer:

16 years

Step-by-step explanation:

Let us assume that he would received the first payment after t years

So

The following formula should be used

PV = P ÷ (1 + r)^t + P ÷ (1 + r)^t+5

$2,606 = $2,500 ÷ (1 + 0.05)^t + $2,500 ÷ (1 + 0.05)^t + 5

$2,606 = $2,500 ÷ 1.05^t (1 + 1 ÷ (1.05)^5)

1.05^t = $2,500 ÷ $2,606 (1.7835) = 1.71098

t = ln(1.71098) ÷ ln(1.05)

= 11

Therefore he would be received the second payment after

= 11 + 5

= 16 years


Related Questions

Can somebody help me

Answers

Answer:

25

Step-by-step explanation:

If it has 25 miles across from the 1 hour it means that it goes 25 miles per hour.

sara bought x pounds of chocolate covered raisins, which sell for $1.50 a pound, and y pounds of yogurt covered raisins, which sell for $1.20 a pound. sara bought a total of 40 pounds of the two types of raisins for a total of $51.90." help me write a system of equations to model this scenario

Answers

x+y=40
1.50x+1.20y=51.90

i don't think u need me to solve it but ill do it anyway, so there's 3 methods: graphing, elimination, and substitution

substitution's my fave so that's what imma do

x+y=40
-x -x
y=40-x

1.50x+1.20(40-x)=51.90
1.50x+48-1.20x=51.90
.30x+48=51.90
-48 -48.00
.30x=3.9
divide both sides by .30
x=13 so 13 pounds of chocolate covered raisins

bring back the other equation
x+y=40
13+y=40
-13 -13
y=27 so 27 pounds of yogurt covered raisins

if given a radius of 6mm, what is the diameter?

if given a diameter of 22ft, what is the radius?

Answers

Answer:

If the radius is 6mm, the diameter is 12mm.

If the diameter is 22 ft, the radius is 11 ft.

Step-by-step explanation:

1st one) When you try to find the diameter of any circle, and you already have the radius, you need to multiply it by two (double it)

6 x 2 = 12mm

2nd one) Then to do the opposite, you need to divide the diameter by 2.

22/2 = 11 ft

Hope this helped :)

What is the sum of 2 with exponent of 4 and 7 with an exponent of 2. please write in standard form.

Answers

Answer:

I think the answer would be 65 , because :

2^4 + 7^2 = 16 + 49 = 65 .

hope it helps u ^.^

Answer:

65

Step-by-step explanation:

First you would solve the exponent and then you would add them

2 to the power of 4 = 16

7 to the power of 2 = 49

16 + 49 = 65

2 to the power of 4 + 7 to the power of 2 = 65

Find the area of the polygon.

Answers

Answer:

120

Step-by-step explanation:

The polygon shown is a parallelogram with a base length of 15 and a height of 8

The area of a parallelogram can easily be calculated by multiplying the height by the base length

So A = 15 * 8

15 * 8 = 120

Hence, the area of the polygon is 120 square units

Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.

Answers

Answer:

A) 36 inches

36 Incheon is the correct answer

Answer:

D.) 64pi in.³

Step-by-step explanation:

I got it right in quiz, trust me.

I hope this helps! ^^

An inch is equal to about 2.54 centimeters. Write an expression which estimates the number of centimeters in X inches

Answers

Answer: 2.54(x)

Step-by-step explanation:

Since an inch is equal to about 2.54 centimeters, the expression which estimates the number of centimeters in X inches will be gotten by multiplying 2.54 by X. This will be:

= 2.54 × X

= 2.54(x)

For example, if there are 4 inches, the number of centimeters in it will be:

= 2.54(x)

= 2.54 × 4

= 10.16 inches

Need Help ASAP on this question

Answers

Step-by-step explanation:

[tex]1250 - 8 \times 82 = \\ = 1250 - 656 = \\ = 594[/tex]

Answer:

$594

Step-by-step explanation:

since it doesn't seem to be accounting for interest

not going to worry about it

you would start with the initial amount that she had and then subtract 82x

x=8

so 1250-82x or 82(8)

so 1250-656

594

and if your teachers a stickler make sure that you add the dollar sign because they might count it off by half if you do not

CAN SOMEONE PLEASE HELP!!! I DONT UNDERSTAND. I WILL GIVE BRAINLIEST!!!

Answers

Answer:

586.76

Step-by-step explanation:

Take the area of the rectangular prism = 348

Find the area of the cylinder = 477.52

Divide the cylinder by 2 = 238.76

Add both together = 586.76

Pls helpppp and thank you

Answers

If the question is y = blank(x) + blank (I can’t see the left of the equation
Then the answer is y = 2x + -4

A submarine began at sea level and descended toward the ocean floor at a rate of −0.015 km per minute. Its final depth was −0.3675 km. Estimate how long it took the submarine to reach its final depth by rounding the dividend and divisor to the nearest hundredth.



Estimate of the quotient:

Answers

Answer:

Around 24.5 minutes

Step-by-step explanation:

Answer:

Estimate of the dividend: -0.37

Estimate of the divisor: -0.02

Estimate of the quotient: 18.5

Step-by-step explanation:

I did the test and it was right and I dubble checked it to

Giving brainlist to whoever answers

Answers

725.95 is the answer

Someone please help this is due tomorrow!

Answers

Sam
30

If you have any questions ask me

Answer:

Sam made a mistake. The answer should have been 30.

This is what Sam should have done:

2n^2 - 20

2n^2 - 20 = 2(5)^2 - 20

= 2(25) - 20

= 50 - 20

= 30

Sam multiplied 2 and 5 when he should have done the power first.

Helppp me please if u can thx .

Answers

$11.25 x 6 hours
= $67.5 x 6 Days
= $405.00

Ming le invited 12 people to her chrismas party.(that is,there are total 13 people at her party )Each person have each other person a present.How many presents were given

Answers

Answer:

There will be 13 gifts given in the party.

Step-by-step explanation:

Given that Ming invited 12 people to her chrismas party, with a total of 13 people at her party, and each person have each other person a present, to determine how many presents were given the following logical reasoning must be performed:

Given that there are 13 people at the party, and each of them will bring a gift, by mathematical logic there will be 13 gifts distributed in the party.

HURRY ASAP PLEASE!!! ILLGIVE BRAINLIEST TO WHOEVER GIVES THE CORRECT ANSWER
How many edges does the figure have?
A prism with 9 edges.

A. 3
B. 5
C. 6
D. 9

Answers

Answer:

9

Step-by-step explanation:

the prism has 9 edges because you said "a prism with 9 edges"

Hope this helps!!! have a great day!!

Help Me Please Quick Will Mark Brainliest if correct : - )

Answers

Answer:

y=2x+3

Step-by-step explanation:

Lets verify

[tex]\\ \sf\longmapsto -1=2(-2)+3=-4+3=-1[/tex]

[tex]\\ \sf\longmapsto 1=2(-1)+3=-2+4=1[/tex]

Hence verified

Answer:

C): y = 2x + 3

Step-by-step explanation:

• when x is -2:

[tex]{ \tt{y = 2(- 2) + 3}} \\ { \tt{y = - 1}}[/tex]

• when x is -1:

[tex]{ \tt{y = 2( - 1) + 3}} \\ { \tt{y = 1}}[/tex]

• since y holds for -2 and -1, it'll hold for other positive integers.

Identify the measure of the angle indicated.
76
х
The value of 2 that makes lines a and b parallel is

Answers

Answer:

x = 76°

Step-by-step explanation:

76° and x are alternative interior angles, so they are congruent when lines a and b are parallel

(5g - 3h) - (6g + 7h)

Answers

Answer:
-g-10h

Solution:

How to solve your problem
(
5


3

)

1
(
6

+
7

)
Simplify
1
Distribute
(
5


3

)

1
(
6

+
7

)
(
5


3

)

6


7

2
Eliminate redundant parentheses
(
5


3

)

6


7

5


3


6


7

3
Combine like terms
5


3


6


7




3


7

4
Combine like terms



3


7




1
0

Answer: -g - 10h

Step-by-step explanation:

(5g - 3h) - (6g + 7h)

= 5g - 3h - 6g - 7h

= 5g - 6g - 3h - 7h

= -g - 10h

Katie is making bread.

She’s needs 6/3 cups of flour to make one whole loaf of bread.
She has 2/3 cup of flour.

Katie can make less than one whole loaf of bread or more than or exactly one loaf

Answers

Katie can make less than one whole loaf of bread as

6/3 = 2 and she only has 2/3 which is 0.666667~

HELP ME PLEASE https://brainly.com/question/22734415
I’m gonnna fail :(

Answers

What’s your question

Pls answer all of them or none of them! Tysm! ​

Answers

Answer:

18. $11

19. $1.40

20. 31

21. 4.05

22. 8.2

23. 31

24. 5.05

25. $14.99 per month

26. 3.7 oz

27. 16 miles ???

28. $6 each

Step-by-step explanation:

Hope that helps. That took a long time sorry. Also I am not a hundred percent sure on 27. If someone else has a different answer just check both

A parallelogram has four sides that are the same length.is a it square ?

Answers

Answer:

I'm pretty sure no because a square always has 4 right angles and all sides are the same length

the parallelogram could possibly be a rectangle tho

I could be completely wrong but I hope this helps


PLSSS HELP!!!! in need of help immediately! (check whole picture) and pls don’t leave a link.

Answers

Answer: C!!!!!!!

Step-by-step explanation:

Decomposers ( however you spell it ) are things that eat and uhh remove the waste and let other decompopers eat they waste

How many cups are in 20 gallons? AND how do I show my work for that?

correct=brainliest

Answers

since 16 cups = a gallon, u multiply 20 times 16, the answer is 320, there are 320 cups within 20 gallons.

PLEASE HURRY!! I need help!!!


Calculate the IQR given in the box: 

Answers

It’s c because 50 - 40 is 10

If You Have NO EXPLANATION Don't ANSWER

Answers

Answer:

B. A = 1/2(7)h

Step-by-step explanation:

Formula for area of triangle = 1/2 x base x height

H is the height of the triangle.

7cm is identified as the base of the triangle.

1/2(7)h is also the same thing as 1/2 x 7 x h basically.

Answer:

B

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = h , then

A = [tex]\frac{1}{2}[/tex] (7) h → B

find the value of X, round to the nearest 10th

Answers

Answer:

4.0731 cm

Step-by-step explanation:

Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.

Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.

So then we input our known values into the formula and solve for the missing one. The formula looks like this

7.8^2 + b^2 = 8.8^2

solve for b and you get about 4.07431

your very welcome

Answer:

X= 4.1

Step-by-step explanation:

Other answer wasn't rounded.

X= 4.1 cm

solve the system of substitution y=-2x y=5x-21

Answers

Answer:

x = 3 is the answer

Step-by-step explanation:

1. Write the equation.

y = -2x

y = 5x - 21

2. Substitute the values.

(-2x) = 5x - 21

3. Solve the equation.

-2x = 5x - 21

-5x    - 5x

-7x = -21

4. Both negatives cancel

7x = 21

5. Divide both sides by 7

7x = 21

/7      /7

6. x = 3

7. Check the answer.

-2(3) = 5(3) - 21

-6 = 15 - 21

-6 = -6

x = 3 is the answer

Hope this helped,

Kavitha

P.S Sorry for taking so long.

Reflex angle of 52 degrees

Answers

The answer is 14 degrees
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